Question

10 PPOINTS AND BRAINLIEST if right Parallel lines s and t are cut by a transversal, r, as shown.

Answer 1

Answer:

According to this figure .

7x-2=6x+18

x=20

Step by Step Explanation:

7x-2+y=180

y=180-138

therefore angle 1 is equal to 42 degrees

Answer 2

Answer: 42 degrees (choice B)

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How I got this answer:

The alternate exterior angles (7x-2) and (6x+18) are congruent due to the fact that line s is parallel to line t.

Set the two expressions equal to one another. Solve for x

7x-2 = 6x+18

7x-2+2 = 6x+18+2 .... adding 2 to both sides

7x = 6x+20

7x-6x = 6x+20-6x .... subtracting 6x from both sides

x = 20

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If x = 20, then we can find the measure of angle (7x-2)

7x-2 = 7*20-2 = 140-2 = 138

As a check, let's see what angle (6x+18) is too

6x+18 = 6*20+18 = 120+18 = 138

We get the same result for each angle, so that confirms x = 20 is correct.

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Since angle (7x-2) is 138 degrees, this means

angle 1 = 180 - (7x-2)

angle 1 = 180 - 138

angle 1 = 42 degrees